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Finding the Third Proportional to 42,951 and 64,230

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Solution

The third proportional to 42,951 and 64,230 is: 96,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,951 : 64,230 = 64,230 : x
  2. Step 2: Convert to fraction form
    42,951/64,230 = 64,230/x
  3. Step 3: Cross multiply
    42,951x = 64,230 × 64,230
  4. Step 4: Simplify right side
    42,951x = 4,125,492,900
  5. Step 5: Solve for x
    x = 4,125,492,900/42,951
  6. Step 6: Final answer
    x = 96,051.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.